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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC375+1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CSm2jMVldK true

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:59:34 PM UTC 2025

% Result   : Theorem 0.96s 0.75s
% Output   : Refutation 0.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   39 (  12 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   84 (  17   ~;  11   |;   4   &;  42   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ssList @ X )
                 => ( ( V != X )
                    | ( U != W )
                    | ( X != W )
                    | ! [Y: $i] :
                        ( ( ssItem @ Y )
                       => ( ( ~ ( memberP @ V @ Y )
                            & ~ ( memberP @ U @ Y ) )
                          | ( ( memberP @ V @ Y )
                            & ( memberP @ U @ Y ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ssList @ X )
                   => ( ( V != X )
                      | ( U != W )
                      | ( X != W )
                      | ! [Y: $i] :
                          ( ( ssItem @ Y )
                         => ( ( ~ ( memberP @ V @ Y )
                              & ~ ( memberP @ U @ Y ) )
                            | ( ( memberP @ V @ Y )
                              & ( memberP @ U @ Y ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl37,plain,
    ( ( memberP @ sk__7 @ sk__10 )
    | ( memberP @ sk__6 @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    sk__7 = sk__9,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40,plain,
    sk__9 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    sk__6 = sk__8,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl44,plain,
    sk__9 = sk__6,
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl39]) ).

thf(zip_derived_cl45,plain,
    sk__7 = sk__6,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl44]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( memberP @ sk__7 @ sk__10 )
    | ~ ( memberP @ sk__6 @ sk__10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45_001,plain,
    sk__7 = sk__6,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl44]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( memberP @ sk__6 @ sk__10 )
    | ~ ( memberP @ sk__6 @ sk__10 ) ),
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl45]) ).

thf(zip_derived_cl47,plain,
    ~ ( memberP @ sk__6 @ sk__10 ),
    inference(simplify,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl47_002,plain,
    ~ ( memberP @ sk__6 @ sk__10 ),
    inference(simplify,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl59,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl45,zip_derived_cl47,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : SWC375+1 : TPTP v9.2.0. Released v2.4.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CSm2jMVldK true
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 17:11:08 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.18/0.61  % Total configuration time : 435
% 0.18/0.61  % Estimated wc time : 1092
% 0.18/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.74/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.74/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.74/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.74/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.74/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.96/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.96/0.75  % Solved by fo/fo7.sh.
% 0.96/0.75  % done 27 iterations in 0.014s
% 0.96/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.96/0.75  % SZS output start Refutation
% See solution above
% 0.96/0.75  
% 0.96/0.75  
% 0.96/0.76  % Terminating...
% 1.03/0.82  % Runner terminated.
% 1.03/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------